Answer:
the numbers are -5 and 3
Step-by-step explanation:
First of all, the question is asking you to find the values of x from the given inequalities.
-8x -19<21 and 3x - 4 < 5
group all liked terms, in other words, make x and its coefficient stand alone.
-8x < 21 + 19 and 3x < 5 + 4
-19 became +19 because it crossed the sign <, also -4 became +4 because it crossed the sign <.
so we get
-8x < 40 and 3x < 9
we divide each "x" by its coefficient
[tex] \frac{ - 8x}{ - 8} < \frac{40}{ - 8} \: and \: \frac{3x}{3} < \frac{9}{3} [/tex]
then we get
x < -5 and x < 3
but x is positive so it's greater than -5 so we get
x > -5 and x < 3
